As a technical engineer in the army, you are part of a team in charge of testing and commissioning a new tank
recently purchased by the artillery.
Field testing has revealed the following information:
1) The tank moves from rest to a speed of 50 ??/ℎ? in 100 seconds.
2) Using the breaking system, the tank is brought to a complete stop from a speed of 50 ??/ℎ? in 5 seconds.
3) The maximum speed achievable by the tank is 90 km/hr.
You are required to address all the questions below providing all calculations, graphs, and explanations as
appropriate to back your answers. Hint: make sure you are using consistent units
First: Motion of the tank:
a) Find the average driving acceleration of the tank.
b) Calculate the average breaking acceleration of the tank.
c) For parts (a) and b above parts report your answers in US Customary Units so that the information could be
shared with experts from the US.
d) How long would it take the tank to travel a distance of 12 km. Assume constant acceleration equal to that calculated in
part (a) up to the maximum achievable speed of 90 km/hr after which the tank maintains its speed constant.
e) For the motion described in part (d) above, find the expressions for the acceleration, velocity and the position of the
tank as a function of time. Draw x(t), v(t), and a(t) for the entire 12 km trip. Assume motion is one dimensional along
the x-axis starting from rest at location x = 0 m
Page 5 of 8
Second: Motion of the fired bomb:
The tank is to be placed on a hill that is 2 km high above the ground. The enemy’s base is located at a horizontal distance of 8
km away and it is in a valley 0.5 km below the ground. Air resistance is neglected. Gravitational acceleration is constant and
equal to 9.8?/?
a) If the bomb is to be fired perfectly horizontally, what should the launching speed of the bomb be in order to hit the
b) What is the duration it would take the bomb to hit the target?
c) Find x(t) and y(t). Consider the initial location of the tank to be (0, 2 km)
d) Draw the trajectory of the bomb (x and y coordinates). Indicate clearly the value of x (horizontal displacement) when
the bomb reaches the ground level.
Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentioned the subparts you need help with. Please resubmit the question and specify the other subparts you’d like to get answered.
Initial velocity, u = 0
Final velocity, v = 50 km/hr = 50 X (5/18) = 13.89 m/s
Time = 100 s
Acceleration can be calculated by using Newtons equation of motion
Final velocity, v = 0
Initial velocity, u = 50 km/hr = 50 X (5/18) = 13.89 m/s
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